Determine lim f(x) given the definition of f(x) below.1-42x2 + 2x – 2if r < -4x – 2x2 + xf(x) =if -4 < x < 0if x > 0Select the correct answer below:O -6-2O 22The limit does not exist.

Given function is, fx=2x2+2x-2 ifx≤-4x-2 if -4<x<0x2+x if x≥0

Determine lim f(x) given the definition of f(x) below. I-4 2x2 + 2x – 2 if x <-4 f(x) : x – 2 if -4 < æ < 0 x2 + x if x >0 Select the correct answer below: O -6 O -2 22 O The limit does not exist.

Determine lim f(x) given the definition of f(x) below. I-4 2x2 + 2x – 2 if x <-4 f(x) : x – 2 if -4 < æ < 0 x2 + x if x >0 Select the correct answer below: O -6 O -2 22 O The limit does not exist.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: 2x2+3x+1 Find the indicated limit if it exists: lim,0 x4-x2

A: We have to evaluate the limit limx→∞2x2+3x+1x4-x2.

Q: n 1º, find the limit or explain why it does not exist. x? – 4x + 4 9. lim ³ + 5x² 14x b. as x→2 a.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the indicated limit. a) V3x+5-V5 lim a) b) x*+2x3-15х2 lim х-з х3+2x2-9х-18 b)

A: As per our policy we have to do only single question. A) 3/(2√5) B) 12/5

Q: (a) Use a graph of f(x) = V 2x2 + 9x + 5 – V 2x² + 2x + 2 to estimate the value of lim f(x) to one…

A: Here we have the find the limit of the function using a graph, table, and exact evalution.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 lim 9x + 14 X-7 x - 7

A: we will use the basic property of limits to answer this question.

Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−5 25 − x2 5x2 + x3

A: We need to find the value of given limit. limx→-525-x25x2+x3

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 (x + Δx)2 − 9(x + Δx) + 7 − (x2…

Q: Find the limit if it exists. a. lim -) x→-00 5x3+1 b. lim х-0о 10х3-Зx2+7 5x2+2 С. lim x→∞ Vx2+3

A: Limits of function can be found by simplifying the function and substituting values for x as given…

Q: Use direct substitution to obtain an undefined expression. Then, use the method of evaluating a…

A: We have to find the limit of given function.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5 t2 − 3t −…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х - 8 lim X- -00 x2 + 9

Q: Find the number a such that the limit exists. lim3x ax a 9 x 2 x2x 2 X a = Find the value of the…

A: Observe that the value of x2+x-2 tends to zero as x tends to ‒2 and so the limit of the given…

Q: Find the limits x2 - 3x + 2 lim x - 4x as a. x→2+ b. x→-2+ c. x→0 d. x→ 1* e. What, if anything, can…

A: We are entitled to answer three sub-parts. Please resubmit the question which you wish to get…

Q: Find the limit. I + 12 -4 lim x-2 X-2

A: Given: Calculations: If we substitute x = 2 in the function, then we get (0/0) form which is an…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 (x + Δx)2 − 9(x + Δx) + 7 − (x2…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 64 lim…

Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

Q: Evaluate the limit x2 – 2x – 15 lim I - 5 Enter I for oo, -I for-oo, and DNE if the limit does not…

Q: Find the limit, if it exists. 1 lim x-1 x-1 Select one: A. 4 B. Does not exist C.2 D.0

Q: Find the limit, if it exists. lim x4-1 X-1 х-1 Select one: А.О B. Does not exist С. 2 D. 4

Q: a) Find the limits: 1- lim- X-1x-x 2- lím 0 V+4-2 5x 3- lim

Q: (a) Use a graph of f(x) = V 3x2 + 8x + 3 - V 3x2 + 3x + 2 to estimate the value of lim f(x) to one…

Q: x´ +2x –15 c) lim x→3 x-6x+9

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

Q: Evaluate the Limit, if it exists x² - 4x lim x4 X (a) 3x - 4 1? - 9 lim 3 212 + 7t + 3 (b) x? - 4x…

Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

Q: Q:2 Find the limit, if it exists. If the limit does not exist, explain why. 2 - |x| lim x-2 2+x

A: First of all substitute the value of the limit in the given equation that is -2 in place of x.…

Q: Find the limit L. Then use the &-8 definition to prove that the limit is L. a) lim (4x+5) b) lim]x-…

Q: 2. Find the limit L. lim (x+4r) L-12 b. L-4 CL-1 dL-4 none of the ab0ve

A: Given limx→-2(x2+4x)

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² - - 81…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→10+ 10 − x x2 − 100

A: To Find: limx→10+10-xx2-100 Concept: i. limx→a+fx=limh→0fa+hii. x2-a2=x-ax+a

Q: Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist,…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) X - 8 lim x - -00 + 6 Find…

Q: Find the limit L. Then use the &-8 definition to prove that the limit is L. lim (x2 + 8) x-1

Q: Evaluate the limit |x – 1| lim x→1¯ (x+ 1)(x – 1) 00 The limit does not exist and is not equal to…

A: In the question we have to calculate the limit of following expression given.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−3 x2 − x − 12…

Q: Find k so that the limit exists x² + (3 – k)x – 3. lim - X-2 x- 2 (a)5 (b) 4 (c) 3 (d) 2

A: We will solve the following

Q: a ) find the limit. (If an answer does not exist, enter DNE.) lim x→0 x/x2+3x (b) Find the…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 + 5x – 14 lim x2 - 4…

A: NOTE: Refresh your page if you can't see any equations. . here we can write 5x=7x-2x

Q: Evaluate lim f(x) and lim f(x). X00 X - 00 5x° +2 f(x) = 1-2x3 Select the correct choice below and,…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 (x + Δx)2 − 2(x + Δx) + 4 − (x2…

A: Find the solution below

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → 2 (x2 − 3x +…

A: Here we evaluate the limit limx→2x3-3x+2x-2 if it exist

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x3 + 64 lim x-4 x + 4

Q: Evaluate the limit. x3 + x² + 9x + 5 lim 4 - 7x? 2 -00 Enter INF for o, -INF for -oo, or DNE if the…

Q: Decide if the limit exists. If it exists, find it. x²-25 a. lim b. lim X-5 x+5 x²-36 x-5 x-5

Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter Ø.) x2+…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) X - 3 lim X3 x2 - 6x +9

Q: V1 + 4x6 2 - x lim X -00 3.

Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Determine lim f(x) given the definition of f(x) below.
1-4
2x2 + 2x – 2
if r < -4
x – 2
x2 + x
f(x) =
if -4 < x < 0
if x > 0
Select the correct answer below:
O -6
-2
O 22
The limit does not exist.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Limits and Continuity$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate : limx→4f(x)+g(x)8f(x). The Limit is ?
Let f(x)=2x2+7f(x)=2x2+7. Evaluate limh→0f(−2+h)−f(−2)h.limh→0f(−2+h)−f(−2)h. (If the limit does not exist, enter "DNE".) Limit =
Evaluate the limit lim(t->1) t2 - 1/ 4t2 - 5t + 1
Find the constant c so that the limit limx->3 (x2+x+c)/(x2-5x+6) exists.
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5 t2 − 3t − 10/t-5
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim (x3 − 27)/(x − 3)x→3
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim 1 + 1 x->7 7 x 7 + x
Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x2+6x+9/x4-81 x→−3
(a ) find the limit. (If an answer does not exist, enter DNE.) lim x→0 x/x2+3x (b) Find the limit. (If an answer does not exist, enter DNE.) lim x→0 [1/(5 + x)] − (1/5)/x (c) Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0 2(x + Δx) − 2x/Δx (d) Consider the following function. f(x) = 6x2 − 8x Find the limit. lim Δx→0 f(x+Δx) -f(x)/Δx
stimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞ 4x8 + 60x7/ 2,000x9 + 4
Find the limit, if it exists, or show that the limit does not exist. a) lim (x,y)→(0,0) 3x2+2y2/ x+1 b) lim (x,y)→(0,0) 2x4y+2/ x8+6y-1
The graph of f(x) = 2x2/(x2 + 2) is shown. (a) Find L = limx ∞ f(x). (b) Determine x1 and x2 in terms of ε. (c) Determine M, where M > 0, such that ∣ f(x) − L∣ < ε for x > M. (d) Determine N, where N < 0, such that ∣ f(x) − L∣ < ε for x < N.